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2020•Asian-European Journal of MathematicsRequires access

δ-Ideals in pseudo-complemented distributive join-semilattices

Shriram Khanderao Nimbhorkar, Jaya Y. Nehete

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Abstract

The concept of a [Formula: see text]-ideal is introduced in a pseudo-complemented distributive join semilattice with [Formula: see text] and some properties of these ideals are obtained. We also give a characterization for a pseudo-complemented distributive join-semilattice to be a Stone join-semilattice. Also, in a distributive join-semilattice a characterization for an ideal to be a [Formula: see text]-ideal is proved.

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What this paper is about

The concept of a [Formula: see text]-ideal is introduced in a pseudo-complemented distributive join semilattice with [Formula: see text] and some properties of these ideals are obtained. We also give a characterization for a pseudo-complemented distributive join-semilattice to be a Stone join-semilattice. Also, in a distributive join-semilattice a characterization for an ideal to be a [Formula: see text]-ideal is proved.

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Available abstract

The concept of a [Formula: see text]-ideal is introduced in a pseudo-complemented distributive join semilattice with [Formula: see text] and some properties of these ideals are obtained. We also give a characterization for a pseudo-complemented distributive join-semilattice to be a Stone join-semilattice. Also, in a distributive join-semilattice a characterization for an ideal to be a [Formula: see text]-ideal is proved.

Key concepts: Semilattice, Distributive property, Join (topology), Ideal (ethics), Mathematics, Characterization (materials science), Discrete mathematics, Pure mathematics

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